Q: What are the prime factors of the number 28,013,890?

 A: 2, 5, 173, 16193

Why are those the prime factors of the number 28,013,890?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 28,013,890

28,013,890
Factor Arrows
214,006,945
Factor Arrows
52,801,389
Factor Arrows
17316,193

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 5, 173, 16193

We can check our work by multiplying all of the prime factors together: 2 x 5 x 173 x 16,193 = 28,013,890

This can also be written as 21 x 51 x 1731 x 16,1931 = 28,013,890

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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